46441226448400 has 135 divisors (see below), whose sum is σ = 129794047106439. Its totient is φ = 15922379101440.

The previous prime is 46441226448271. The next prime is 46441226448433. The reversal of 46441226448400 is 484462214464.

The square root of 46441226448400 is 6814780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 366020160016 + 46075206288384 = 604996^2 + 6787872^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 954044862 + ... + 954093538.

Almost surely, 2^{46441226448400} is an apocalyptic number.

46441226448400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46441226448400 is the 6814780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46441226448400

46441226448400 is an abundant number, since it is smaller than the sum of its proper divisors (83352820658039).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46441226448400 is an frugal number, since it uses more digits than its factorization.

46441226448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97386 (or 48691 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 49.

46441226448400 divided by its sum of digits (49) gives a square (947780131600 = 973540²).

The spelling of 46441226448400 in words is "forty-six trillion, four hundred forty-one billion, two hundred twenty-six million, four hundred forty-eight thousand, four hundred".